Online GCD Calculator is useful to find the GCD of 506, 660, 533, 825 quickly. Get the easiest ways to solve the greatest common divisor of 506, 660, 533, 825 i.e 1 in different methods as follows.
Given Input numbers are 506, 660, 533, 825
In the factoring method, we have to find the divisors of all numbers
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 533 :
The positive integer divisors of 533 that completely divides 533 are.
1, 13, 41, 533
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
GCD of numbers is the greatest common divisor
So, the GCD (506, 660, 533, 825) = 1.
Given numbers are 506, 660, 533, 825
The list of prime factors of all numbers are
Prime factors of 506 are 2 x 11 x 23
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 533 are 13 x 41
Prime factors of 825 are 3 x 5 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 506, 660, 533, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(506, 660) = 15180
GCD(506, 660) = ( 506 x 660 ) / 15180
= 506 / 660
= 506
Step2:
LCM(22, 533) = 11726
GCD(22, 533) = ( 22 x 533 ) / 11726
= 22 / 533
= 22
Step3:
LCM(1, 825) = 825
GCD(1, 825) = ( 1 x 825 ) / 825
= 1 / 825
= 1
So, Greatest Common Divisor of 506, 660, 533, 825 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 506, 660, 533, 825
The greatest common divisor of numbers 506, 660, 533, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 660, 533, 825 is 1.
1. What is the GCD of 506, 660, 533, 825?
GCD of given numbers 506, 660, 533, 825 is 1
2. How to calculate the greatest common divisor of 506, 660, 533, 825?
We can find the highest common divisor of 506, 660, 533, 825 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 506, 660, 533, 825 i.e 1.
3. How can I use the GCD of 506, 660, 533, 825Calculator?
Out the numbers 506, 660, 533, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.